Question

5 rational number between under root 5/7 and 4/9​

Answer 1

Answer:

Could you verify that the two values are √5/7 and 4/9. I don't think it makes sense any other way.

√5/7 < x < 4/9

square everything

5/49 < x2 < 16/81

get a common denominator for the endvalues so we can compare them

405/3969 < x2 < 784/3969

Choose 5 numbers between 405 and 784 that are perfect squares.

x2 = 441/3969, 484/3969, 529/3969, 576/3969, 625/3969

x = 21/63 ( which reduces to 1/3), 22/63, 23/63, 24/63, 65/63

These are 5 possible answers